Finding the Third Proportional to 15,564 and 23,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,564 : 23,800.50 = 23,800.50 : x
2. Step 2: Convert to fraction form
   15,564/23,800.50 = 23,800.50/x
3. Step 3: Cross multiply
   15,564x = 23,800.50 × 23,800.50
4. Step 4: Simplify right side
   15,564x = 566,463,800.25
5. Step 5: Solve for x
   x = 566,463,800.25/15,564
6. Step 6: Final answer
   x = 36,395.77